Rachel and Robert run on a circular track. Rachel runs counterclockwise and completes a lap every 90 seconds, and Robert runs clockwise and completes a lap every 80 seconds. Both start from the start line at the same time. At some random time between 10 minutes and 11 minutes after they begin to run, a photographer standing inside the track takes a picture that shows one-fourth of the track, centered on the starting line. What is the probability that both Rachel and Robert are in the picture?

**Answer Choices**

A. \dfrac{1}{16}

B. \dfrac{1}{8}

C. \dfrac{3}{16}

D. \dfrac{1}{4}

E. \dfrac{5}{16}